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Finding the Third Proportional to 50,158,569 and 70,633,876.50

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Solution

The third proportional to 50,158,569 and 70,633,876.50 is: 99,467,441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,158,569 : 70,633,876.50 = 70,633,876.50 : x
  2. Step 2: Convert to fraction form
    50,158,569/70,633,876.50 = 70,633,876.50/x
  3. Step 3: Cross multiply
    50,158,569x = 70,633,876.50 × 70,633,876.50
  4. Step 4: Simplify right side
    50,158,569x = 4,989,144,509,417,252
  5. Step 5: Solve for x
    x = 4,989,144,509,417,252/50,158,569
  6. Step 6: Final answer
    x = 99,467,441.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.